Distributed control in a class of nonlocal boundary-value problems

We study optimal control problems with a quadratic optimization criterion. The state of the system is described by the solution of an operator-differential equation under nonlocal boundary conditions; the control is on the righth- and side of the equation. We prove existence and uniqueness theorems for the optimal control.Translated fromMatematichni Metodi ta Fiziko-Mekhanichni Polya, Vol. 40, No. 3, 1997, pp. 50–54.